45859314048 has 128 divisors (see below), whose sum is σ = 123603338880. Its totient is φ = 15062851584.

The previous prime is 45859314043. The next prime is 45859314091. The reversal of 45859314048 is 84041395854.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45859314043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13798915 + ... + 13802237.

It is an arithmetic number, because the mean of its divisors is an integer number (965651085).

Almost surely, 2^45859314048 is an apocalyptic number.

45859314048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45859314048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61801669440).

45859314048 is an abundant number, since it is smaller than the sum of its proper divisors (77744024832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45859314048 is a wasteful number, since it uses less digits than its factorization.

45859314048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3856 (or 3844 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 45859314048 in words is "forty-five billion, eight hundred fifty-nine million, three hundred fourteen thousand, forty-eight".